Ideal extensions of graph algebras
Czechoslovak Mathematical Journal (2006)
- Volume: 56, Issue: 3, page 933-947
- ISSN: 0011-4642
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topČipková, Karla. "Ideal extensions of graph algebras." Czechoslovak Mathematical Journal 56.3 (2006): 933-947. <http://eudml.org/doc/31079>.
@article{Čipková2006,
abstract = {Let $\mathcal \{A\}$ and $\mathcal \{B\}$ be graph algebras. In this paper we present the notion of an ideal in a graph algebra and prove that an ideal extension of $\mathcal \{A\}$ by $\mathcal \{B\}$ always exists. We describe (up to isomorphism) all such extensions.},
author = {Čipková, Karla},
journal = {Czechoslovak Mathematical Journal},
keywords = {oriented graph; graph (Shallon) algebra; congruence relation; ideal; quotient graph algebra; ideal extension; oriented graph; graph (Shallon) algebra; congruence relation; ideal; quotient graph algebra; ideal extension},
language = {eng},
number = {3},
pages = {933-947},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {Ideal extensions of graph algebras},
url = {http://eudml.org/doc/31079},
volume = {56},
year = {2006},
}
TY - JOUR
AU - Čipková, Karla
TI - Ideal extensions of graph algebras
JO - Czechoslovak Mathematical Journal
PY - 2006
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 56
IS - 3
SP - 933
EP - 947
AB - Let $\mathcal {A}$ and $\mathcal {B}$ be graph algebras. In this paper we present the notion of an ideal in a graph algebra and prove that an ideal extension of $\mathcal {A}$ by $\mathcal {B}$ always exists. We describe (up to isomorphism) all such extensions.
LA - eng
KW - oriented graph; graph (Shallon) algebra; congruence relation; ideal; quotient graph algebra; ideal extension; oriented graph; graph (Shallon) algebra; congruence relation; ideal; quotient graph algebra; ideal extension
UR - http://eudml.org/doc/31079
ER -
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